Base | Representation |
---|---|
bin | 10011110010100… |
… | …100010101000000 |
3 | 212010202112002000 |
4 | 103302210111000 |
5 | 1134444214404 |
6 | 52540224000 |
7 | 11141102250 |
oct | 2362442500 |
9 | 763675060 |
10 | 332023104 |
11 | 160466966 |
12 | 9323b000 |
13 | 53a3089a |
14 | 3214b960 |
15 | 1e237339 |
hex | 13ca4540 |
332023104 has 112 divisors (see below), whose sum is σ = 1115568000. Its totient is φ = 94860288.
The previous prime is 332023103. The next prime is 332023127. The reversal of 332023104 is 401320233.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×3320231042 = 220478683179589632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332023103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 25820.
Almost surely, 2332023104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 332023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557784000).
332023104 is an abundant number, since it is smaller than the sum of its proper divisors (783544896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332023104 is a wasteful number, since it uses less digits than its factorization.
332023104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27477 (or 27461 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 332023104 is about 18221.5011456246. The cubic root of 332023104 is about 692.4516191704.
Adding to 332023104 its reverse (401320233), we get a palindrome (733343337).
The spelling of 332023104 in words is "three hundred thirty-two million, twenty-three thousand, one hundred four".
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